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2 years ago

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Which pair shows equivalent expressions?

1 answer:

Simora [160]2 years ago

7 0

Which pair shows equivalent expressions?

A.2(2/5x + 2)=2 2/5x + 1

B.2(2/5x + 2)=4/5x + 4

C.2(2/5x + 4)=4/5x + 2

D.2(2/5x + 4)=2 2/5x + 8

Solution:

Let us distribute 2 inside the parenthesis.

That is, we use distributive property:

a(b+c)=ab+ac

So,

Answer:Option (b)

Applying distributive property, a(b+c)=ab+ac

So, Option (B) is correct.

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Find the area of the shaded region. Round the the nearest tenth.

Brums [2.3K]

Answer:

226.084 sq.m.

Step-by-step explanation:

Radius of circle = 18.6 cm

Area of sector = $\frac{\theta}{360^{\circ} }\pi r^2$

Area of sector = $\frac{123}{360} \times 3.14 \times (18.6)^2$

Area of sector = $371.157 m^2$

Area of triangle = $\frac{1}{2} \times a \times b \times Sin x$

a = OA = radius = 18.6 cm

b = OB = radius = 18.6 cm

x =123 °

Substitute the values in the formula

Area of triangle = $\frac{1}{2} \times 18.6 \times 18.6 \times Sin 123$

Area of triangle = $145.073 m^2$

So, Area of shaded region = Area of sector - Area of triangle

= $371.157 m^2-145.073 m^2$

= $226.084 m^2$

Hence the area of the shaded region is 226.084 sq.m.

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3 years ago

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Zielflug [23.3K]

b is an ipotenuse, so b > a and 2a+b>3a

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3 years ago

Find the perimeter of a rectangle with a length of 12 feet and a width of 6 feet.

jeka57 [31]

Perimeter= 2 ( length + width)
2×(12+6)
2×18
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3 years ago

Use the equation tool to complete the table.<br> y = 120 + 18(x)

Ira Lisetskai [31]

Answer:

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2 years ago

Read 2 more answers

Area of the plane figure

Viefleur [7K]

Answer:

Area = 16.8 * 7 / 2 = 58.8 ft2

Step-by-step explanation:

Have

18.2^2 = 7^2 + a^2

-> a^2 = 18.2^2 - 7^2

-> a^2 = 282.24

-> a = 16.8

Area = 16.8 * 7 / 2 = 58.8 ft2

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3 years ago